2516006152 has 32 divisors (see below), whose sum is σ = 5197348800. Its totient is φ = 1132312000.

The previous prime is 2516006131. The next prime is 2516006161.

2516006152 is nontrivially palindromic in base 10.

2516006152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2516006152.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132652 + ... + 150427.

It is an arithmetic number, because the mean of its divisors is an integer number (162417150).

Almost surely, 2^2516006152 is an apocalyptic number.

2516006152 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2516006152 is an abundant number, since it is smaller than the sum of its proper divisors (2681342648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2516006152 is a wasteful number, since it uses less digits than its factorization.

2516006152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283197 (or 283193 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 2516006152 is about 50159.8061399763. The cubic root of 2516006152 is about 1360.0991406966.

It can be divided in two parts, 251600 and 6152, that added together give a palindrome (257752).

The spelling of 2516006152 in words is "two billion, five hundred sixteen million, six thousand, one hundred fifty-two".